Embedding the derived category of a curve into a Fano variety

Video of Embedding the derived category of a curve into a Fano variety - Alexander Kuznetsov

Alexander Kuznetsov

Steklov Mathematical Institute, Moscow

April 14, 2015

According to the conjecture of Bondal, the derived category of coherent sheaves on any smooth projective variety can be embedded as a semiorthogonal component into the derived category of a Fano variety of higher dimension. I will explain how this embedding can be constructed for general curves of arbitrary genus. This is a joint work with Anton Fonarev.